A 2-gallon container of window cleaner costs $13.20. What is the price per quart?

[tex]~~~~(x+2)(x+3) = 12\\\\\implies x^2+3x+2x+6 -12=0\\ \\\implies x^2 +5x -6 = 0\\\\\implies x^2 +6x-x-6 = 0\\\\\implies x(x+6) -(x+6) =0\\\\\implies (x+6)(x-1)=0\\\\\implies x=1~~~~~~~~~;[x\neq -6~ \text{because length cannot be negative.}}][/tex]

The solution is 240 eggs

The total number of eggs ordered by Camp Copeland is 240 eggs

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of cases ordered by Camp Copeland be = 20 cases

Let the number of eggs in each case = 12 eggs

So , the equation will be

The number of eggs in 20 cases A = 20 x number of eggs in each case

Substituting the values in the equation , we get

The number of eggs in 20 cases A = 20 x 12

The number of eggs in 20 cases A = 240 eggs

Therefore ,  the value of A is 240 eggs

Hence , the number of eggs is 240 eggs

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

78.54 ft²

Step-by-step explanation:

Hello!

The formula for the area of a circle is A = πr², where r is the radius.

Given r is 5, find the area:

The area is 78.54 ft²

Answer:

C

Step-by-step explanation:

I'm pretty sure if he does he can't gain nor.loose

Answer:

1/3 x 1/7

Step-by-step explanation:

when dividing fraction you take the reciprocal of the divisor and multiply.

Answer:

1/3 x 1/7

Step-by-step explanation:

1/3 x 1/7

Multiplying the reciprocal.

Answer:

the answer is C=3 and D=8

Step-by-step explanation:

hope i helped you

Answer:

D

Step-by-step explanation:

just did it

Answer: 362,880 ways

Step-by-step explanation: I just took the quiz on k-12 hope this helps :D

well, we can say that 1 hour is 100%, what is 2/5 hr off of it in percentage?

[tex]\begin{array}{ccll} hour&\%\\ \cline{1-2} 1 & 100\\ \frac{2}{5}& x \end{array} \implies \cfrac{1}{~~ \frac{2}{5}~~}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40[/tex]

Answer:

Just multiply biggest to lowest 12 being the biggest and then 12 and 12 by being the lowest

Step-by-step explanation:

Answer:

78 ft cubed

Step-by-step explanation:

First calculate the volume of the toys...

5 x 3 x 2 = 30

Now the book boxes...

6 x 4 x 2 = 48

30 + 48 = 78

The combined volume should be 78 feet cubed! hope this helps!!!

Answer:

78 ft³

Step-by-step explanation:

Volume of a rectangular prism = length × width × height

Toy Box

⇒ volume = 5 × 3 × 2 = 30 ft³

Book Box

⇒ volume = 6 × 4 × 2 = 48 ft³

Total combined volume = 30 + 48 = 78 ft³

Answer:the odds is 60%

Step-by-step explanation:

because there are 2 dice with 6 sides on each and take the probability of rolling each out of 12 and you have your answer

Answer:

1

Step-by-step explanation:

Median is the middle number when the numbers are arranged least to greatest.

So:

1, 1, 1, 2, 2

1, 1, 1, 2, 2

1 is the middle number in this data set.

Hope this helps! :D

[tex]\textit{lateral area of a cone}\\\\ LA=\pi rs~~ \begin{cases} r=radius\\ h=height\\ s=slant~height\\[-0.5em] \hrulefill\\ LA=612\pi \\ r=14.2 \end{cases}\implies \begin{array}{llll} 612\pi =\pi (14.2)s\implies \cfrac{612\pi }{\pi (14.2)}=s \\\\\\ 43.1\approx = s \end{array}[/tex]

The demand function for the shirts of a concert-promoting company which has been selling an average of 175 T-shirts at performances for $23 each is y=175-6.08x.

The demand function is the function

[tex]Q=a-bP[/tex]

Here, Q is linear demand curve, a factor which influence the demand, b is slope and P is price.

A concert-promoting company has been selling an average of 175 T-shirts at performances for $23 each. Thus, the total selling price is,

[tex]P=175\times23\\P=4025[/tex]

The company estimates that for each dollar that the price is lowered, an additional 25 shirts will be sold.  Thus, the total number of

[tex]23=175-25b\\23-175=-25b\\b=\dfrac{152}{25}\\b=6.08[/tex]

Put the values in, the function for X number of shirt and y price,

[tex]y=175-6.08x[/tex]

Hence, the demand function for the shirts of a concert-promoting company which has been selling an average of 175 T-shirts at performances for $23 each is y=175-6.08x.

Learn more about the demand function here;

https://brainly.com/question/14408984

#SPJ1

The probability of picking a chocolate-covered cherry is 0.

The probability that an a fell on the floor is 0.08

The probability that an a or a o would be picked is 0.36

The probability a girl would be picked is 1.

Probability is used to calculate the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of picking a chocolate-covered cherry is zero because there is no chocolate-covered cherry in the bag.  

The probability that an a fell on the floor = number of a in the letter / total number of letters

= 1/13 = 0.08

The probability that an s or a o would be picked is = (number of s in the letter / total number of letters) +  (number of 0 in the letter / total number of letters)

= 4/11 + 0 = 4/11 = 0.36

The probability a girl would be picked is one since its an all-girls school.

To learn more about probability, please check: https://brainly.com/question/13234031

Step-by-step explanation:

x = -1, y = 4 We know that, the equation of perpendicular form is x/a + y/b = 1, -1/a + 4/b = 1, -1b + 4a/ab = 1, -1b + 4a = ab, 4a - 1b = ab

You will need 5.2 pounds of candy from each candy. The reason is because you have 2 kinds of candy and 10.4 pounds so divide 10.4 by 2 and you get 5.2

PLEASE consider brainliest <3

Answer:

the way you form it or the material you use should be perfect

Answer:

Step-by-step explanation:

Note : we have a proportional relationship between the two variables

_______________________________________

He used 3/4 gallon of gas to mow 3/10 of the lawn

Then

He has to use 1/4 gallon of gas in order to mow 1/10 of the lawn

( we divided both sides by 3)

Then

He has to use 10 × 1/4 gallons of gas to mow 10/10 of the lawn

What that means is :

He has to use 10/4 gallons of gas to mow the entire lawn

In other words :

He has to use 2.5 gallons of gas to mow the entire lawn

________________

Alex is mowing a 145.5 square feet lawn. He used 3/4 gallon of gas to mow 3/10 of the lawn. How many gallons of gas are needed to mow the entire lawn

Answer:

445.06

Step-by-step explanation:

V=πr2h

3=π·52·17

3≈445.05896cm³

Hope This Helps

Answer:

B.  3.53*4.37^x

Step-by-step explanation:

See attached graph.

The exponential regression equations that best fits the data is y = 3.53(4.37)ˣ

The equation of an exponential regression model takes the following form: y = abˣ where: y: The response variable x: The predictor variable a, b: The regression coefficients that describe the relationship between x and y.

Given is a table, we need to determine the exponential regression equation, for the same,

So,

The general exponential regression equations is, y = abˣ

where, a is initial value and b is growth factor.

Using graph calculator, we get,

a = 3.53

b = 4.37

Put the value of a and b in general equation, to find the exponential regression equation.

y = 3.53(4.37)ˣ

Hence the option B is correct.

Learn more about exponential regression equation click;

https://brainly.com/question/12480134

#SPJ7

Answer:

-14.5

Step-by-step explanation:

[tex]\sf 2.5(2x - 5) - (5x + 2)[/tex]

Remove parentheses from (5x+2):-

[tex]\sf 2.5(2x-5)-5x-2[/tex]

Use the distributive property to multiply 2.5 by 2x−5.

[tex]\sf 5x-12.5-5x-2[/tex]

Combine like terms:-

[tex]\sf (5x-5x)+(-12.5-2)[/tex]

[tex]\sf (5x-5x)=\boxed{0}[/tex]

[tex]\sf -12.5-2=\boxed{-14.5}[/tex]

Let the amount of money she needs in addition to pay for her education be ,'x'.

Then,

According to the question,

Amount they have saved + amount they're going to save per month for next 4 years + the financial aid = Total amount they need

4 years :-

Monthly save:-$ 250

Yearly save:-

Save for 4years:-

Total amount=50000+12000=62000$

Amount of financial aid:-

Answer:

b

Step-by-step explanation:

to sum it up this is the answer: b

Answer:

A protein is composed of chains of amino acids that are either in their primary, secondary, or tertiary forms.

Step-by-step explanation:

Answer:

A protein is composed of chains of amino acids and a DNA molecule that contains the information to code for one specific protein and a amino acid is molecules that combine to form proteins.

Answer:

derivative is a function which measures the slope. It depends upon x in some way, and is found by differentiating a function of the form y = f (x). When x is substituted into the derivative, the result is the slope of the original function y = f (x).

There are many different ways to indicate the operation of differentiation, also known as finding or taking the derivative. The choice of notation depends on the type of function being evaluated and upon personal preference.

Suppose you have a general function: y = f(x). All of the following notations can be read as "the derivative of y with respect to x" or less formally, "the derivative of the function."

f'(x) f' y' df/dx dy/dx d/dx [f(x)].

[HINT: don't read the last three terms as fractions, read them as an operation.

For example, read: " dx/dy = 3x"

As: "the function that gives the slope is equal to 3x"

Let's try some examples. Suppose we have the function : y = 4x3 + x2 + 3.

After applying the rules of differentiation, we end up with the following result:

dy/dx = 12x2 + 2x.

How do we interpret this? First, decide what part of the original function (y = 4x3 + x2 + 3) you are interested in. For example, suppose you would like to know the slope of y when the variable x takes on a value of 2. Substitute x = 2 into the function of the slope and solve:

dy/dx = 12 ( 2 )2 + 2 ( 2 ) = 48 + 4 = 52.

Therefore, we have found that when x = 2, the function y has a slope of + 52.

Now for the practical part. How do we actually determine the function of the slope? Almost all functions you will see in economics can be differentiated using a fairly short list of rules or formulas, which will be presented

Answer:

Making a Will is a responsibility you owe to both yourself and your family. It is a legal document that lets you decide what happens with your estate after you die.

Step-by-step explanation:

There are many important reasons why you should make a will. some of them are:

Children-a will allows you to provide for children and the special needs of a loved one.You decide how your assets will be distributed on your death.Smart tax planning- a will can ensure the minimum amount of tax going to the State, unlike in an intestacy situation where there is no discretion.you choose who handles your affairs on death rather than having the law decide.It is cheaper and faster to administer your estate with a will, rather than an intestacy.Making a Will is a responsibility you owe to both yourself and your family. It is a legal document that lets you decide what happens with your estate after you die.

(20.80865204668)

Step-by-step explanation:

Man I think that this is the right ans but I did not do any kind of ROUND TO stuff...... so

Answer:

160 ft^3

Step-by-step explanation:

volume = 1/3 * base area * height

volume = 1/3 * (8*6) * 10

volume = 1/3 * (48) * 10

volume = 16 * 10

volume = 160